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Finding the Third Proportional to 83,495,742 and 127,403,199

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Solution

The third proportional to 83,495,742 and 127,403,199 is: 194,400,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495,742 : 127,403,199 = 127,403,199 : x
  2. Step 2: Convert to fraction form
    83,495,742/127,403,199 = 127,403,199/x
  3. Step 3: Cross multiply
    83,495,742x = 127,403,199 × 127,403,199
  4. Step 4: Simplify right side
    83,495,742x = 16,231,575,115,433,600
  5. Step 5: Solve for x
    x = 16,231,575,115,433,600/83,495,742
  6. Step 6: Final answer
    x = 194,400,034.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.