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Finding the Third Proportional to 90,187,034 and 197,610,796

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Solution

The third proportional to 90,187,034 and 197,610,796 is: 432,989,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,187,034 : 197,610,796 = 197,610,796 : x
  2. Step 2: Convert to fraction form
    90,187,034/197,610,796 = 197,610,796/x
  3. Step 3: Cross multiply
    90,187,034x = 197,610,796 × 197,610,796
  4. Step 4: Simplify right side
    90,187,034x = 39,050,026,695,753,616
  5. Step 5: Solve for x
    x = 39,050,026,695,753,616/90,187,034
  6. Step 6: Final answer
    x = 432,989,366.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.