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Finding the Third Proportional to 85,416,348 and 127,564,796

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Solution

The third proportional to 85,416,348 and 127,564,796 is: 190,511,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416,348 : 127,564,796 = 127,564,796 : x
  2. Step 2: Convert to fraction form
    85,416,348/127,564,796 = 127,564,796/x
  3. Step 3: Cross multiply
    85,416,348x = 127,564,796 × 127,564,796
  4. Step 4: Simplify right side
    85,416,348x = 16,272,777,178,521,616
  5. Step 5: Solve for x
    x = 16,272,777,178,521,616/85,416,348
  6. Step 6: Final answer
    x = 190,511,272.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.