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Finding the Third Proportional to 65,220,503 and 142,160,411

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Solution

The third proportional to 65,220,503 and 142,160,411 is: 309,865,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220,503 : 142,160,411 = 142,160,411 : x
  2. Step 2: Convert to fraction form
    65,220,503/142,160,411 = 142,160,411/x
  3. Step 3: Cross multiply
    65,220,503x = 142,160,411 × 142,160,411
  4. Step 4: Simplify right side
    65,220,503x = 20,209,582,455,688,920
  5. Step 5: Solve for x
    x = 20,209,582,455,688,920/65,220,503
  6. Step 6: Final answer
    x = 309,865,479.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.