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Finding the Third Proportional to 109,009,670.91 and 239,206,451.06

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Solution

The third proportional to 109,009,670.91 and 239,206,451.06 is: 524,905,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009,670.91 : 239,206,451.06 = 239,206,451.06 : x
  2. Step 2: Convert to fraction form
    109,009,670.91/239,206,451.06 = 239,206,451.06/x
  3. Step 3: Cross multiply
    109,009,670.91x = 239,206,451.06 × 239,206,451.06
  4. Step 4: Simplify right side
    109,009,670.91x = 57,219,726,229,916,208
  5. Step 5: Solve for x
    x = 57,219,726,229,916,208/109,009,670.91
  6. Step 6: Final answer
    x = 524,905,045.16

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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.