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Finding the Third Proportional to 106,169,908.50 and 230,717,403.84

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Solution

The third proportional to 106,169,908.50 and 230,717,403.84 is: 501,371,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,169,908.50 : 230,717,403.84 = 230,717,403.84 : x
  2. Step 2: Convert to fraction form
    106,169,908.50/230,717,403.84 = 230,717,403.84/x
  3. Step 3: Cross multiply
    106,169,908.50x = 230,717,403.84 × 230,717,403.84
  4. Step 4: Simplify right side
    106,169,908.50x = 53,230,520,436,400,024
  5. Step 5: Solve for x
    x = 53,230,520,436,400,024/106,169,908.50
  6. Step 6: Final answer
    x = 501,371,068.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.