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Finding the Third Proportional to 258,944,783.50 and 554,824,685

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Solution

The third proportional to 258,944,783.50 and 554,824,685 is: 1,188,787,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,944,783.50 : 554,824,685 = 554,824,685 : x
  2. Step 2: Convert to fraction form
    258,944,783.50/554,824,685 = 554,824,685/x
  3. Step 3: Cross multiply
    258,944,783.50x = 554,824,685 × 554,824,685
  4. Step 4: Simplify right side
    258,944,783.50x = 307,830,431,085,349,248
  5. Step 5: Solve for x
    x = 307,830,431,085,349,248/258,944,783.50
  6. Step 6: Final answer
    x = 1,188,787,921.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.