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Finding the Third Proportional to 258,282,049.50 and 392,206,117.50

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Solution

The third proportional to 258,282,049.50 and 392,206,117.50 is: 595,572,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,282,049.50 : 392,206,117.50 = 392,206,117.50 : x
  2. Step 2: Convert to fraction form
    258,282,049.50/392,206,117.50 = 392,206,117.50/x
  3. Step 3: Cross multiply
    258,282,049.50x = 392,206,117.50 × 392,206,117.50
  4. Step 4: Simplify right side
    258,282,049.50x = 153,825,638,604,423,808
  5. Step 5: Solve for x
    x = 153,825,638,604,423,808/258,282,049.50
  6. Step 6: Final answer
    x = 595,572,316.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.