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Finding the Third Proportional to 200,832,605.25 and 310,337,300.25

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Solution

The third proportional to 200,832,605.25 and 310,337,300.25 is: 479,549,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,832,605.25 : 310,337,300.25 = 310,337,300.25 : x
  2. Step 2: Convert to fraction form
    200,832,605.25/310,337,300.25 = 310,337,300.25/x
  3. Step 3: Cross multiply
    200,832,605.25x = 310,337,300.25 × 310,337,300.25
  4. Step 4: Simplify right side
    200,832,605.25x = 96,309,239,926,458,656
  5. Step 5: Solve for x
    x = 96,309,239,926,458,656/200,832,605.25
  6. Step 6: Final answer
    x = 479,549,821.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.