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Finding the Third Proportional to 242,265,639 and 525,419,214

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Solution

The third proportional to 242,265,639 and 525,419,214 is: 1,139,515,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,265,639 : 525,419,214 = 525,419,214 : x
  2. Step 2: Convert to fraction form
    242,265,639/525,419,214 = 525,419,214/x
  3. Step 3: Cross multiply
    242,265,639x = 525,419,214 × 525,419,214
  4. Step 4: Simplify right side
    242,265,639x = 276,065,350,440,377,792
  5. Step 5: Solve for x
    x = 276,065,350,440,377,792/242,265,639
  6. Step 6: Final answer
    x = 1,139,515,085.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.