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Finding the Third Proportional to 137,881,398.75 and 295,433,361

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Solution

The third proportional to 137,881,398.75 and 295,433,361 is: 633,014,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,881,398.75 : 295,433,361 = 295,433,361 : x
  2. Step 2: Convert to fraction form
    137,881,398.75/295,433,361 = 295,433,361/x
  3. Step 3: Cross multiply
    137,881,398.75x = 295,433,361 × 295,433,361
  4. Step 4: Simplify right side
    137,881,398.75x = 87,280,870,791,756,320
  5. Step 5: Solve for x
    x = 87,280,870,791,756,320/137,881,398.75
  6. Step 6: Final answer
    x = 633,014,109.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.