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Finding the Third Proportional to 145,434,258 and 231,526,542

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Solution

The third proportional to 145,434,258 and 231,526,542 is: 368,582,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,434,258 : 231,526,542 = 231,526,542 : x
  2. Step 2: Convert to fraction form
    145,434,258/231,526,542 = 231,526,542/x
  3. Step 3: Cross multiply
    145,434,258x = 231,526,542 × 231,526,542
  4. Step 4: Simplify right side
    145,434,258x = 53,604,539,650,477,760
  5. Step 5: Solve for x
    x = 53,604,539,650,477,760/145,434,258
  6. Step 6: Final answer
    x = 368,582,618.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.