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Finding the Third Proportional to 144,502,594 and 220,141,603

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Solution

The third proportional to 144,502,594 and 220,141,603 is: 335,373,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,502,594 : 220,141,603 = 220,141,603 : x
  2. Step 2: Convert to fraction form
    144,502,594/220,141,603 = 220,141,603/x
  3. Step 3: Cross multiply
    144,502,594x = 220,141,603 × 220,141,603
  4. Step 4: Simplify right side
    144,502,594x = 48,462,325,371,409,608
  5. Step 5: Solve for x
    x = 48,462,325,371,409,608/144,502,594
  6. Step 6: Final answer
    x = 335,373,393.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.