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Finding the Third Proportional to 64,187,910 and 97,509,320

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Solution

The third proportional to 64,187,910 and 97,509,320 is: 148,128,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,187,910 : 97,509,320 = 97,509,320 : x
  2. Step 2: Convert to fraction form
    64,187,910/97,509,320 = 97,509,320/x
  3. Step 3: Cross multiply
    64,187,910x = 97,509,320 × 97,509,320
  4. Step 4: Simplify right side
    64,187,910x = 9,508,067,486,862,400
  5. Step 5: Solve for x
    x = 9,508,067,486,862,400/64,187,910
  6. Step 6: Final answer
    x = 148,128,634.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.