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Finding the Third Proportional to 252,806,140.13 and 553,940,142.75

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Solution

The third proportional to 252,806,140.13 and 553,940,142.75 is: 1,213,774,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,806,140.13 : 553,940,142.75 = 553,940,142.75 : x
  2. Step 2: Convert to fraction form
    252,806,140.13/553,940,142.75 = 553,940,142.75/x
  3. Step 3: Cross multiply
    252,806,140.13x = 553,940,142.75 × 553,940,142.75
  4. Step 4: Simplify right side
    252,806,140.13x = 306,849,681,749,890,368
  5. Step 5: Solve for x
    x = 306,849,681,749,890,368/252,806,140.13
  6. Step 6: Final answer
    x = 1,213,774,640.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.