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Finding the Third Proportional to 187,187,580 and 292,113,371

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Solution

The third proportional to 187,187,580 and 292,113,371 is: 455,854,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,187,580 : 292,113,371 = 292,113,371 : x
  2. Step 2: Convert to fraction form
    187,187,580/292,113,371 = 292,113,371/x
  3. Step 3: Cross multiply
    187,187,580x = 292,113,371 × 292,113,371
  4. Step 4: Simplify right side
    187,187,580x = 85,330,221,516,983,648
  5. Step 5: Solve for x
    x = 85,330,221,516,983,648/187,187,580
  6. Step 6: Final answer
    x = 455,854,077.05

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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.