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Finding the Third Proportional to 161,107,695.77 and 238,641,510.23

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Solution

The third proportional to 161,107,695.77 and 238,641,510.23 is: 353,488,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,107,695.77 : 238,641,510.23 = 238,641,510.23 : x
  2. Step 2: Convert to fraction form
    161,107,695.77/238,641,510.23 = 238,641,510.23/x
  3. Step 3: Cross multiply
    161,107,695.77x = 238,641,510.23 × 238,641,510.23
  4. Step 4: Simplify right side
    161,107,695.77x = 56,949,770,406,945,696
  5. Step 5: Solve for x
    x = 56,949,770,406,945,696/161,107,695.77
  6. Step 6: Final answer
    x = 353,488,827.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.