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Finding the Third Proportional to 141,809,534 and 308,465,560

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Solution

The third proportional to 141,809,534 and 308,465,560 is: 670,977,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,809,534 : 308,465,560 = 308,465,560 : x
  2. Step 2: Convert to fraction form
    141,809,534/308,465,560 = 308,465,560/x
  3. Step 3: Cross multiply
    141,809,534x = 308,465,560 × 308,465,560
  4. Step 4: Simplify right side
    141,809,534x = 95,151,001,706,113,600
  5. Step 5: Solve for x
    x = 95,151,001,706,113,600/141,809,534
  6. Step 6: Final answer
    x = 670,977,465.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.