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Finding the Third Proportional to 151,330,010 and 314,737,688

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Solution

The third proportional to 151,330,010 and 314,737,688 is: 654,594,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,330,010 : 314,737,688 = 314,737,688 : x
  2. Step 2: Convert to fraction form
    151,330,010/314,737,688 = 314,737,688/x
  3. Step 3: Cross multiply
    151,330,010x = 314,737,688 × 314,737,688
  4. Step 4: Simplify right side
    151,330,010x = 99,059,812,247,585,344
  5. Step 5: Solve for x
    x = 99,059,812,247,585,344/151,330,010
  6. Step 6: Final answer
    x = 654,594,632.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.