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Finding the Third Proportional to 215,967,723 and 347,779,192.50

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Solution

The third proportional to 215,967,723 and 347,779,192.50 is: 560,039,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,967,723 : 347,779,192.50 = 347,779,192.50 : x
  2. Step 2: Convert to fraction form
    215,967,723/347,779,192.50 = 347,779,192.50/x
  3. Step 3: Cross multiply
    215,967,723x = 347,779,192.50 × 347,779,192.50
  4. Step 4: Simplify right side
    215,967,723x = 120,950,366,735,952,064
  5. Step 5: Solve for x
    x = 120,950,366,735,952,064/215,967,723
  6. Step 6: Final answer
    x = 560,039,088.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.