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Finding the Third Proportional to 149,463,496 and 210,385,820

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Solution

The third proportional to 149,463,496 and 210,385,820 is: 296,140,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,463,496 : 210,385,820 = 210,385,820 : x
  2. Step 2: Convert to fraction form
    149,463,496/210,385,820 = 210,385,820/x
  3. Step 3: Cross multiply
    149,463,496x = 210,385,820 × 210,385,820
  4. Step 4: Simplify right side
    149,463,496x = 44,262,193,257,072,400
  5. Step 5: Solve for x
    x = 44,262,193,257,072,400/149,463,496
  6. Step 6: Final answer
    x = 296,140,492.10

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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.