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Finding the Third Proportional to 205,524,981 and 296,948,092.50

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Solution

The third proportional to 205,524,981 and 296,948,092.50 is: 429,038,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,524,981 : 296,948,092.50 = 296,948,092.50 : x
  2. Step 2: Convert to fraction form
    205,524,981/296,948,092.50 = 296,948,092.50/x
  3. Step 3: Cross multiply
    205,524,981x = 296,948,092.50 × 296,948,092.50
  4. Step 4: Simplify right side
    205,524,981x = 88,178,169,639,388,560
  5. Step 5: Solve for x
    x = 88,178,169,639,388,560/205,524,981
  6. Step 6: Final answer
    x = 429,038,695.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.