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Finding the Third Proportional to 187,187,549 and 292,113,311

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Solution

The third proportional to 187,187,549 and 292,113,311 is: 455,853,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,187,549 : 292,113,311 = 292,113,311 : x
  2. Step 2: Convert to fraction form
    187,187,549/292,113,311 = 292,113,311/x
  3. Step 3: Cross multiply
    187,187,549x = 292,113,311 × 292,113,311
  4. Step 4: Simplify right side
    187,187,549x = 85,330,186,463,382,720
  5. Step 5: Solve for x
    x = 85,330,186,463,382,720/187,187,549
  6. Step 6: Final answer
    x = 455,853,965.28

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