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Finding the Third Proportional to 181,070,690 and 287,189,355

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Solution

The third proportional to 181,070,690 and 287,189,355 is: 455,500,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,070,690 : 287,189,355 = 287,189,355 : x
  2. Step 2: Convert to fraction form
    181,070,690/287,189,355 = 287,189,355/x
  3. Step 3: Cross multiply
    181,070,690x = 287,189,355 × 287,189,355
  4. Step 4: Simplify right side
    181,070,690x = 82,477,725,625,316,032
  5. Step 5: Solve for x
    x = 82,477,725,625,316,032/181,070,690
  6. Step 6: Final answer
    x = 455,500,145.41

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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.