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Finding the Third Proportional to 156,422,414 and 236,646,899

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Solution

The third proportional to 156,422,414 and 236,646,899 is: 358,016,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,422,414 : 236,646,899 = 236,646,899 : x
  2. Step 2: Convert to fraction form
    156,422,414/236,646,899 = 236,646,899/x
  3. Step 3: Cross multiply
    156,422,414x = 236,646,899 × 236,646,899
  4. Step 4: Simplify right side
    156,422,414x = 56,001,754,806,316,200
  5. Step 5: Solve for x
    x = 56,001,754,806,316,200/156,422,414
  6. Step 6: Final answer
    x = 358,016,177.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.