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Finding the Third Proportional to 191,706,351.75 and 419,904,216

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Solution

The third proportional to 191,706,351.75 and 419,904,216 is: 919,737,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,706,351.75 : 419,904,216 = 419,904,216 : x
  2. Step 2: Convert to fraction form
    191,706,351.75/419,904,216 = 419,904,216/x
  3. Step 3: Cross multiply
    191,706,351.75x = 419,904,216 × 419,904,216
  4. Step 4: Simplify right side
    191,706,351.75x = 176,319,550,614,574,656
  5. Step 5: Solve for x
    x = 176,319,550,614,574,656/191,706,351.75
  6. Step 6: Final answer
    x = 919,737,656.08

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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.