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Finding the Third Proportional to 219,584,381.25 and 292,746,507.75

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Solution

The third proportional to 219,584,381.25 and 292,746,507.75 is: 390,285,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,584,381.25 : 292,746,507.75 = 292,746,507.75 : x
  2. Step 2: Convert to fraction form
    219,584,381.25/292,746,507.75 = 292,746,507.75/x
  3. Step 3: Cross multiply
    219,584,381.25x = 292,746,507.75 × 292,746,507.75
  4. Step 4: Simplify right side
    219,584,381.25x = 85,700,517,799,820,816
  5. Step 5: Solve for x
    x = 85,700,517,799,820,816/219,584,381.25
  6. Step 6: Final answer
    x = 390,285,125.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.