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Finding the Third Proportional to 181,070,688 and 287,189,352

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Solution

The third proportional to 181,070,688 and 287,189,352 is: 455,500,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,070,688 : 287,189,352 = 287,189,352 : x
  2. Step 2: Convert to fraction form
    181,070,688/287,189,352 = 287,189,352/x
  3. Step 3: Cross multiply
    181,070,688x = 287,189,352 × 287,189,352
  4. Step 4: Simplify right side
    181,070,688x = 82,477,723,902,179,904
  5. Step 5: Solve for x
    x = 82,477,723,902,179,904/181,070,688
  6. Step 6: Final answer
    x = 455,500,140.93

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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.