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Finding the Third Proportional to 176,890,995 and 382,756,662

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Solution

The third proportional to 176,890,995 and 382,756,662 is: 828,208,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,890,995 : 382,756,662 = 382,756,662 : x
  2. Step 2: Convert to fraction form
    176,890,995/382,756,662 = 382,756,662/x
  3. Step 3: Cross multiply
    176,890,995x = 382,756,662 × 382,756,662
  4. Step 4: Simplify right side
    176,890,995x = 146,502,662,305,382,240
  5. Step 5: Solve for x
    x = 146,502,662,305,382,240/176,890,995
  6. Step 6: Final answer
    x = 828,208,707.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.