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Finding the Third Proportional to 62,285,649.75 and 136,301,290.88

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Solution

The third proportional to 62,285,649.75 and 136,301,290.88 is: 298,271,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,285,649.75 : 136,301,290.88 = 136,301,290.88 : x
  2. Step 2: Convert to fraction form
    62,285,649.75/136,301,290.88 = 136,301,290.88/x
  3. Step 3: Cross multiply
    62,285,649.75x = 136,301,290.88 × 136,301,290.88
  4. Step 4: Simplify right side
    62,285,649.75x = 18,578,041,894,191,360
  5. Step 5: Solve for x
    x = 18,578,041,894,191,360/62,285,649.75
  6. Step 6: Final answer
    x = 298,271,623.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.