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Finding the Third Proportional to 185,300,415 and 399,320,730

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Solution

The third proportional to 185,300,415 and 399,320,730 is: 860,532,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,300,415 : 399,320,730 = 399,320,730 : x
  2. Step 2: Convert to fraction form
    185,300,415/399,320,730 = 399,320,730/x
  3. Step 3: Cross multiply
    185,300,415x = 399,320,730 × 399,320,730
  4. Step 4: Simplify right side
    185,300,415x = 159,457,045,407,732,896
  5. Step 5: Solve for x
    x = 159,457,045,407,732,896/185,300,415
  6. Step 6: Final answer
    x = 860,532,586.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.