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Finding the Third Proportional to 181,083,856.50 and 392,251,065.75

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Solution

The third proportional to 181,083,856.50 and 392,251,065.75 is: 849,666,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,083,856.50 : 392,251,065.75 = 392,251,065.75 : x
  2. Step 2: Convert to fraction form
    181,083,856.50/392,251,065.75 = 392,251,065.75/x
  3. Step 3: Cross multiply
    181,083,856.50x = 392,251,065.75 × 392,251,065.75
  4. Step 4: Simplify right side
    181,083,856.50x = 153,860,898,582,010,816
  5. Step 5: Solve for x
    x = 153,860,898,582,010,816/181,083,856.50
  6. Step 6: Final answer
    x = 849,666,566.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.