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Finding the Third Proportional to 53,000,358.75 and 116,462,877.75

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Solution

The third proportional to 53,000,358.75 and 116,462,877.75 is: 255,915,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000,358.75 : 116,462,877.75 = 116,462,877.75 : x
  2. Step 2: Convert to fraction form
    53,000,358.75/116,462,877.75 = 116,462,877.75/x
  3. Step 3: Cross multiply
    53,000,358.75x = 116,462,877.75 × 116,462,877.75
  4. Step 4: Simplify right side
    53,000,358.75x = 13,563,601,893,811,446
  5. Step 5: Solve for x
    x = 13,563,601,893,811,446/53,000,358.75
  6. Step 6: Final answer
    x = 255,915,284.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.