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Finding the Third Proportional to 86,703,923 and 142,337,537

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Solution

The third proportional to 86,703,923 and 142,337,537 is: 233,668,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,703,923 : 142,337,537 = 142,337,537 : x
  2. Step 2: Convert to fraction form
    86,703,923/142,337,537 = 142,337,537/x
  3. Step 3: Cross multiply
    86,703,923x = 142,337,537 × 142,337,537
  4. Step 4: Simplify right side
    86,703,923x = 20,259,974,439,226,368
  5. Step 5: Solve for x
    x = 20,259,974,439,226,368/86,703,923
  6. Step 6: Final answer
    x = 233,668,486.25

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.