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Finding the Third Proportional to 84,495,514 and 178,069,814

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Solution

The third proportional to 84,495,514 and 178,069,814 is: 375,272,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,495,514 : 178,069,814 = 178,069,814 : x
  2. Step 2: Convert to fraction form
    84,495,514/178,069,814 = 178,069,814/x
  3. Step 3: Cross multiply
    84,495,514x = 178,069,814 × 178,069,814
  4. Step 4: Simplify right side
    84,495,514x = 31,708,858,657,994,596
  5. Step 5: Solve for x
    x = 31,708,858,657,994,596/84,495,514
  6. Step 6: Final answer
    x = 375,272,687.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.