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Finding the Third Proportional to 115,625,891,509.59 and 176,762,170,346.62

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Solution

The third proportional to 115,625,891,509.59 and 176,762,170,346.62 is: 270,223,774,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,625,891,509.59 : 176,762,170,346.62 = 176,762,170,346.62 : x
  2. Step 2: Convert to fraction form
    115,625,891,509.59/176,762,170,346.62 = 176,762,170,346.62/x
  3. Step 3: Cross multiply
    115,625,891,509.59x = 176,762,170,346.62 × 176,762,170,346.62
  4. Step 4: Simplify right side
    115,625,891,509.59x = 31,244,864,865,647,506,489,344
  5. Step 5: Solve for x
    x = 31,244,864,865,647,506,489,344/115,625,891,509.59
  6. Step 6: Final answer
    x = 270,223,774,776.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.