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Finding the Third Proportional to 141,608,106.50 and 218,700,999.75

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Solution

The third proportional to 141,608,106.50 and 218,700,999.75 is: 337,764,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,608,106.50 : 218,700,999.75 = 218,700,999.75 : x
  2. Step 2: Convert to fraction form
    141,608,106.50/218,700,999.75 = 218,700,999.75/x
  3. Step 3: Cross multiply
    141,608,106.50x = 218,700,999.75 × 218,700,999.75
  4. Step 4: Simplify right side
    141,608,106.50x = 47,830,127,291,649,504
  5. Step 5: Solve for x
    x = 47,830,127,291,649,504/141,608,106.50
  6. Step 6: Final answer
    x = 337,764,048.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.