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Finding the Third Proportional to 114,906,942 and 245,739,132

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Solution

The third proportional to 114,906,942 and 245,739,132 is: 525,535,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,906,942 : 245,739,132 = 245,739,132 : x
  2. Step 2: Convert to fraction form
    114,906,942/245,739,132 = 245,739,132/x
  3. Step 3: Cross multiply
    114,906,942x = 245,739,132 × 245,739,132
  4. Step 4: Simplify right side
    114,906,942x = 60,387,720,996,113,424
  5. Step 5: Solve for x
    x = 60,387,720,996,113,424/114,906,942
  6. Step 6: Final answer
    x = 525,535,880.99

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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.