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Finding the Third Proportional to 97,922,688 and 148,143,452

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Solution

The third proportional to 97,922,688 and 148,143,452 is: 224,120,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,922,688 : 148,143,452 = 148,143,452 : x
  2. Step 2: Convert to fraction form
    97,922,688/148,143,452 = 148,143,452/x
  3. Step 3: Cross multiply
    97,922,688x = 148,143,452 × 148,143,452
  4. Step 4: Simplify right side
    97,922,688x = 21,946,482,370,476,304
  5. Step 5: Solve for x
    x = 21,946,482,370,476,304/97,922,688
  6. Step 6: Final answer
    x = 224,120,505.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.