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Finding the Third Proportional to 73,936,051 and 164,872,358

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Solution

The third proportional to 73,936,051 and 164,872,358 is: 367,654,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936,051 : 164,872,358 = 164,872,358 : x
  2. Step 2: Convert to fraction form
    73,936,051/164,872,358 = 164,872,358/x
  3. Step 3: Cross multiply
    73,936,051x = 164,872,358 × 164,872,358
  4. Step 4: Simplify right side
    73,936,051x = 27,182,894,432,480,164
  5. Step 5: Solve for x
    x = 27,182,894,432,480,164/73,936,051
  6. Step 6: Final answer
    x = 367,654,129.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.