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Finding the Third Proportional to 200,326,864.13 and 434,916,909.75

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Solution

The third proportional to 200,326,864.13 and 434,916,909.75 is: 944,220,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,326,864.13 : 434,916,909.75 = 434,916,909.75 : x
  2. Step 2: Convert to fraction form
    200,326,864.13/434,916,909.75 = 434,916,909.75/x
  3. Step 3: Cross multiply
    200,326,864.13x = 434,916,909.75 × 434,916,909.75
  4. Step 4: Simplify right side
    200,326,864.13x = 189,152,718,386,489,632
  5. Step 5: Solve for x
    x = 189,152,718,386,489,632/200,326,864.13
  6. Step 6: Final answer
    x = 944,220,433.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.