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Finding the Third Proportional to 230,239,596 and 354,252,033

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Solution

The third proportional to 230,239,596 and 354,252,033 is: 545,060,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,239,596 : 354,252,033 = 354,252,033 : x
  2. Step 2: Convert to fraction form
    230,239,596/354,252,033 = 354,252,033/x
  3. Step 3: Cross multiply
    230,239,596x = 354,252,033 × 354,252,033
  4. Step 4: Simplify right side
    230,239,596x = 125,494,502,884,633,088
  5. Step 5: Solve for x
    x = 125,494,502,884,633,088/230,239,596
  6. Step 6: Final answer
    x = 545,060,472.07

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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.