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Finding the Third Proportional to 100,311,664 and 141,260,928

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Solution

The third proportional to 100,311,664 and 141,260,928 is: 198,926,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311,664 : 141,260,928 = 141,260,928 : x
  2. Step 2: Convert to fraction form
    100,311,664/141,260,928 = 141,260,928/x
  3. Step 3: Cross multiply
    100,311,664x = 141,260,928 × 141,260,928
  4. Step 4: Simplify right side
    100,311,664x = 19,954,649,779,421,184
  5. Step 5: Solve for x
    x = 19,954,649,779,421,184/100,311,664
  6. Step 6: Final answer
    x = 198,926,515.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.