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Finding the Third Proportional to 106,182,419.48 and 250,301,484.70

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Solution

The third proportional to 106,182,419.48 and 250,301,484.70 is: 590,030,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,182,419.48 : 250,301,484.70 = 250,301,484.70 : x
  2. Step 2: Convert to fraction form
    106,182,419.48/250,301,484.70 = 250,301,484.70/x
  3. Step 3: Cross multiply
    106,182,419.48x = 250,301,484.70 × 250,301,484.70
  4. Step 4: Simplify right side
    106,182,419.48x = 62,650,833,244,586,208
  5. Step 5: Solve for x
    x = 62,650,833,244,586,208/106,182,419.48
  6. Step 6: Final answer
    x = 590,030,190.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.