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Finding the Third Proportional to 65,877,408 and 143,095,378

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Solution

The third proportional to 65,877,408 and 143,095,378 is: 310,824,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877,408 : 143,095,378 = 143,095,378 : x
  2. Step 2: Convert to fraction form
    65,877,408/143,095,378 = 143,095,378/x
  3. Step 3: Cross multiply
    65,877,408x = 143,095,378 × 143,095,378
  4. Step 4: Simplify right side
    65,877,408x = 20,476,287,204,962,884
  5. Step 5: Solve for x
    x = 20,476,287,204,962,884/65,877,408
  6. Step 6: Final answer
    x = 310,824,117.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.