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Finding the Third Proportional to 65,702,304 and 152,096,580

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Solution

The third proportional to 65,702,304 and 152,096,580 is: 352,093,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702,304 : 152,096,580 = 152,096,580 : x
  2. Step 2: Convert to fraction form
    65,702,304/152,096,580 = 152,096,580/x
  3. Step 3: Cross multiply
    65,702,304x = 152,096,580 × 152,096,580
  4. Step 4: Simplify right side
    65,702,304x = 23,133,369,647,696,400
  5. Step 5: Solve for x
    x = 23,133,369,647,696,400/65,702,304
  6. Step 6: Final answer
    x = 352,093,735.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.