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Finding the Third Proportional to 53,804,209.50 and 85,654,401.75

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Solution

The third proportional to 53,804,209.50 and 85,654,401.75 is: 136,358,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804,209.50 : 85,654,401.75 = 85,654,401.75 : x
  2. Step 2: Convert to fraction form
    53,804,209.50/85,654,401.75 = 85,654,401.75/x
  3. Step 3: Cross multiply
    53,804,209.50x = 85,654,401.75 × 85,654,401.75
  4. Step 4: Simplify right side
    53,804,209.50x = 7,336,676,539,150,403
  5. Step 5: Solve for x
    x = 7,336,676,539,150,403/53,804,209.50
  6. Step 6: Final answer
    x = 136,358,783.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.