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Finding the Third Proportional to 181,421,160.19 and 280,151,959.50

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Solution

The third proportional to 181,421,160.19 and 280,151,959.50 is: 432,612,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,421,160.19 : 280,151,959.50 = 280,151,959.50 : x
  2. Step 2: Convert to fraction form
    181,421,160.19/280,151,959.50 = 280,151,959.50/x
  3. Step 3: Cross multiply
    181,421,160.19x = 280,151,959.50 × 280,151,959.50
  4. Step 4: Simplify right side
    181,421,160.19x = 78,485,120,411,689,648
  5. Step 5: Solve for x
    x = 78,485,120,411,689,648/181,421,160.19
  6. Step 6: Final answer
    x = 432,612,823.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.