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Finding the Third Proportional to 145,247,526 and 313,448,526

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Solution

The third proportional to 145,247,526 and 313,448,526 is: 676,431,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,247,526 : 313,448,526 = 313,448,526 : x
  2. Step 2: Convert to fraction form
    145,247,526/313,448,526 = 313,448,526/x
  3. Step 3: Cross multiply
    145,247,526x = 313,448,526 × 313,448,526
  4. Step 4: Simplify right side
    145,247,526x = 98,249,978,451,572,672
  5. Step 5: Solve for x
    x = 98,249,978,451,572,672/145,247,526
  6. Step 6: Final answer
    x = 676,431,338.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.