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Finding the Third Proportional to 129,298,227.75 and 287,294,266.13

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Solution

The third proportional to 129,298,227.75 and 287,294,266.13 is: 638,353,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298,227.75 : 287,294,266.13 = 287,294,266.13 : x
  2. Step 2: Convert to fraction form
    129,298,227.75/287,294,266.13 = 287,294,266.13/x
  3. Step 3: Cross multiply
    129,298,227.75x = 287,294,266.13 × 287,294,266.13
  4. Step 4: Simplify right side
    129,298,227.75x = 82,537,995,348,302,320
  5. Step 5: Solve for x
    x = 82,537,995,348,302,320/129,298,227.75
  6. Step 6: Final answer
    x = 638,353,647.88

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.