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Finding the Third Proportional to 265,872,147.19 and 427,182,541.03

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Solution

The third proportional to 265,872,147.19 and 427,182,541.03 is: 686,363,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,872,147.19 : 427,182,541.03 = 427,182,541.03 : x
  2. Step 2: Convert to fraction form
    265,872,147.19/427,182,541.03 = 427,182,541.03/x
  3. Step 3: Cross multiply
    265,872,147.19x = 427,182,541.03 × 427,182,541.03
  4. Step 4: Simplify right side
    265,872,147.19x = 182,484,923,361,915,584
  5. Step 5: Solve for x
    x = 182,484,923,361,915,584/265,872,147.19
  6. Step 6: Final answer
    x = 686,363,446.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.