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Finding the Third Proportional to 115,614,720 and 157,474,320

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Solution

The third proportional to 115,614,720 and 157,474,320 is: 214,489,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,614,720 : 157,474,320 = 157,474,320 : x
  2. Step 2: Convert to fraction form
    115,614,720/157,474,320 = 157,474,320/x
  3. Step 3: Cross multiply
    115,614,720x = 157,474,320 × 157,474,320
  4. Step 4: Simplify right side
    115,614,720x = 24,798,161,459,462,400
  5. Step 5: Solve for x
    x = 24,798,161,459,462,400/115,614,720
  6. Step 6: Final answer
    x = 214,489,655.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.