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Finding the Third Proportional to 365,148,126.56 and 565,605,721.69

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Solution

The third proportional to 365,148,126.56 and 565,605,721.69 is: 876,109,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148,126.56 : 565,605,721.69 = 565,605,721.69 : x
  2. Step 2: Convert to fraction form
    365,148,126.56/565,605,721.69 = 565,605,721.69/x
  3. Step 3: Cross multiply
    365,148,126.56x = 565,605,721.69 × 565,605,721.69
  4. Step 4: Simplify right side
    365,148,126.56x = 319,909,832,405,637,696
  5. Step 5: Solve for x
    x = 319,909,832,405,637,696/365,148,126.56
  6. Step 6: Final answer
    x = 876,109,745.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.