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Finding the Third Proportional to 268,234,045 and 586,681,178

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Solution

The third proportional to 268,234,045 and 586,681,178 is: 1,283,188,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234,045 : 586,681,178 = 586,681,178 : x
  2. Step 2: Convert to fraction form
    268,234,045/586,681,178 = 586,681,178/x
  3. Step 3: Cross multiply
    268,234,045x = 586,681,178 × 586,681,178
  4. Step 4: Simplify right side
    268,234,045x = 344,194,804,619,467,712
  5. Step 5: Solve for x
    x = 344,194,804,619,467,712/268,234,045
  6. Step 6: Final answer
    x = 1,283,188,361.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.