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Finding the Third Proportional to 156,422,397 and 236,646,877.50

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Solution

The third proportional to 156,422,397 and 236,646,877.50 is: 358,016,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,422,397 : 236,646,877.50 = 236,646,877.50 : x
  2. Step 2: Convert to fraction form
    156,422,397/236,646,877.50 = 236,646,877.50/x
  3. Step 3: Cross multiply
    156,422,397x = 236,646,877.50 × 236,646,877.50
  4. Step 4: Simplify right side
    156,422,397x = 56,001,744,630,500,008
  5. Step 5: Solve for x
    x = 56,001,744,630,500,008/156,422,397
  6. Step 6: Final answer
    x = 358,016,151.81

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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.