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Finding the Third Proportional to 107,661,708 and 233,495,928

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Solution

The third proportional to 107,661,708 and 233,495,928 is: 506,404,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,661,708 : 233,495,928 = 233,495,928 : x
  2. Step 2: Convert to fraction form
    107,661,708/233,495,928 = 233,495,928/x
  3. Step 3: Cross multiply
    107,661,708x = 233,495,928 × 233,495,928
  4. Step 4: Simplify right side
    107,661,708x = 54,520,348,392,581,184
  5. Step 5: Solve for x
    x = 54,520,348,392,581,184/107,661,708
  6. Step 6: Final answer
    x = 506,404,267.64

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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.