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Finding the Third Proportional to 160,719,923 and 348,838,573

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Solution

The third proportional to 160,719,923 and 348,838,573 is: 757,145,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,719,923 : 348,838,573 = 348,838,573 : x
  2. Step 2: Convert to fraction form
    160,719,923/348,838,573 = 348,838,573/x
  3. Step 3: Cross multiply
    160,719,923x = 348,838,573 × 348,838,573
  4. Step 4: Simplify right side
    160,719,923x = 121,688,350,012,676,336
  5. Step 5: Solve for x
    x = 121,688,350,012,676,336/160,719,923
  6. Step 6: Final answer
    x = 757,145,397.67

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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.