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Finding the Third Proportional to 181,070,685 and 287,189,347.50

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Solution

The third proportional to 181,070,685 and 287,189,347.50 is: 455,500,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,070,685 : 287,189,347.50 = 287,189,347.50 : x
  2. Step 2: Convert to fraction form
    181,070,685/287,189,347.50 = 287,189,347.50/x
  3. Step 3: Cross multiply
    181,070,685x = 287,189,347.50 × 287,189,347.50
  4. Step 4: Simplify right side
    181,070,685x = 82,477,721,317,475,760
  5. Step 5: Solve for x
    x = 82,477,721,317,475,760/181,070,685
  6. Step 6: Final answer
    x = 455,500,134.20

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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.