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Finding the Third Proportional to 142,580,724 and 305,624,660

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Solution

The third proportional to 142,580,724 and 305,624,660 is: 655,112,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580,724 : 305,624,660 = 305,624,660 : x
  2. Step 2: Convert to fraction form
    142,580,724/305,624,660 = 305,624,660/x
  3. Step 3: Cross multiply
    142,580,724x = 305,624,660 × 305,624,660
  4. Step 4: Simplify right side
    142,580,724x = 93,406,432,800,115,600
  5. Step 5: Solve for x
    x = 93,406,432,800,115,600/142,580,724
  6. Step 6: Final answer
    x = 655,112,627.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.