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Finding the Third Proportional to 365,148,132 and 565,605,729.50

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Solution

The third proportional to 365,148,132 and 565,605,729.50 is: 876,109,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148,132 : 565,605,729.50 = 565,605,729.50 : x
  2. Step 2: Convert to fraction form
    365,148,132/565,605,729.50 = 565,605,729.50/x
  3. Step 3: Cross multiply
    365,148,132x = 565,605,729.50 × 565,605,729.50
  4. Step 4: Simplify right side
    365,148,132x = 319,909,841,243,227,200
  5. Step 5: Solve for x
    x = 319,909,841,243,227,200/365,148,132
  6. Step 6: Final answer
    x = 876,109,757.13

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Why These Related Problems?

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