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Finding the Third Proportional to 85,416,343 and 127,564,788

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Solution

The third proportional to 85,416,343 and 127,564,788 is: 190,511,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416,343 : 127,564,788 = 127,564,788 : x
  2. Step 2: Convert to fraction form
    85,416,343/127,564,788 = 127,564,788/x
  3. Step 3: Cross multiply
    85,416,343x = 127,564,788 × 127,564,788
  4. Step 4: Simplify right side
    85,416,343x = 16,272,775,137,484,944
  5. Step 5: Solve for x
    x = 16,272,775,137,484,944/85,416,343
  6. Step 6: Final answer
    x = 190,511,260.09

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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.