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Finding the Third Proportional to 181,071,051 and 287,189,899.50

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Solution

The third proportional to 181,071,051 and 287,189,899.50 is: 455,500,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,071,051 : 287,189,899.50 = 287,189,899.50 : x
  2. Step 2: Convert to fraction form
    181,071,051/287,189,899.50 = 287,189,899.50/x
  3. Step 3: Cross multiply
    181,071,051x = 287,189,899.50 × 287,189,899.50
  4. Step 4: Simplify right side
    181,071,051x = 82,478,038,374,820,096
  5. Step 5: Solve for x
    x = 82,478,038,374,820,096/181,071,051
  6. Step 6: Final answer
    x = 455,500,964.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.