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Finding the Third Proportional to 365,148,133 and 565,605,731

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Solution

The third proportional to 365,148,133 and 565,605,731 is: 876,109,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148,133 : 565,605,731 = 565,605,731 : x
  2. Step 2: Convert to fraction form
    365,148,133/565,605,731 = 565,605,731/x
  3. Step 3: Cross multiply
    365,148,133x = 565,605,731 × 565,605,731
  4. Step 4: Simplify right side
    365,148,133x = 319,909,842,940,044,352
  5. Step 5: Solve for x
    x = 319,909,842,940,044,352/365,148,133
  6. Step 6: Final answer
    x = 876,109,759.38

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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.