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Finding the Third Proportional to 65,960,254.13 and 144,928,510.88

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Solution

The third proportional to 65,960,254.13 and 144,928,510.88 is: 318,438,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,960,254.13 : 144,928,510.88 = 144,928,510.88 : x
  2. Step 2: Convert to fraction form
    65,960,254.13/144,928,510.88 = 144,928,510.88/x
  3. Step 3: Cross multiply
    65,960,254.13x = 144,928,510.88 × 144,928,510.88
  4. Step 4: Simplify right side
    65,960,254.13x = 21,004,273,264,444,992
  5. Step 5: Solve for x
    x = 21,004,273,264,444,992/65,960,254.13
  6. Step 6: Final answer
    x = 318,438,331.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.