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Finding the Third Proportional to 60,461,734.50 and 123,461,239.50

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Solution

The third proportional to 60,461,734.50 and 123,461,239.50 is: 252,104,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,461,734.50 : 123,461,239.50 = 123,461,239.50 : x
  2. Step 2: Convert to fraction form
    60,461,734.50/123,461,239.50 = 123,461,239.50/x
  3. Step 3: Cross multiply
    60,461,734.50x = 123,461,239.50 × 123,461,239.50
  4. Step 4: Simplify right side
    60,461,734.50x = 15,242,677,658,876,360
  5. Step 5: Solve for x
    x = 15,242,677,658,876,360/60,461,734.50
  6. Step 6: Final answer
    x = 252,104,538.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.