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Finding the Third Proportional to 156,422,416 and 236,646,902

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Solution

The third proportional to 156,422,416 and 236,646,902 is: 358,016,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,422,416 : 236,646,902 = 236,646,902 : x
  2. Step 2: Convert to fraction form
    156,422,416/236,646,902 = 236,646,902/x
  3. Step 3: Cross multiply
    156,422,416x = 236,646,902 × 236,646,902
  4. Step 4: Simplify right side
    156,422,416x = 56,001,756,226,197,600
  5. Step 5: Solve for x
    x = 56,001,756,226,197,600/156,422,416
  6. Step 6: Final answer
    x = 358,016,182.45

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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.