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Finding the Third Proportional to 230,240,124 and 354,252,892.50

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Solution

The third proportional to 230,240,124 and 354,252,892.50 is: 545,061,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,240,124 : 354,252,892.50 = 354,252,892.50 : x
  2. Step 2: Convert to fraction form
    230,240,124/354,252,892.50 = 354,252,892.50/x
  3. Step 3: Cross multiply
    230,240,124x = 354,252,892.50 × 354,252,892.50
  4. Step 4: Simplify right side
    230,240,124x = 125,495,111,844,616,560
  5. Step 5: Solve for x
    x = 125,495,111,844,616,560/230,240,124
  6. Step 6: Final answer
    x = 545,061,867.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.