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Finding the Third Proportional to 187,187,658.75 and 292,113,492.75

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Solution

The third proportional to 187,187,658.75 and 292,113,492.75 is: 455,854,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,187,658.75 : 292,113,492.75 = 292,113,492.75 : x
  2. Step 2: Convert to fraction form
    187,187,658.75/292,113,492.75 = 292,113,492.75/x
  3. Step 3: Cross multiply
    187,187,658.75x = 292,113,492.75 × 292,113,492.75
  4. Step 4: Simplify right side
    187,187,658.75x = 85,330,292,646,604,304
  5. Step 5: Solve for x
    x = 85,330,292,646,604,304/187,187,658.75
  6. Step 6: Final answer
    x = 455,854,265.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.