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Finding the Third Proportional to 301,247,136 and 465,503,643

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Solution

The third proportional to 301,247,136 and 465,503,643 is: 719,321,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,247,136 : 465,503,643 = 465,503,643 : x
  2. Step 2: Convert to fraction form
    301,247,136/465,503,643 = 465,503,643/x
  3. Step 3: Cross multiply
    301,247,136x = 465,503,643 × 465,503,643
  4. Step 4: Simplify right side
    301,247,136x = 216,693,641,646,271,456
  5. Step 5: Solve for x
    x = 216,693,641,646,271,456/301,247,136
  6. Step 6: Final answer
    x = 719,321,831.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.