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Finding the Third Proportional to 99,167,415 and 214,269,312

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Solution

The third proportional to 99,167,415 and 214,269,312 is: 462,967,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,167,415 : 214,269,312 = 214,269,312 : x
  2. Step 2: Convert to fraction form
    99,167,415/214,269,312 = 214,269,312/x
  3. Step 3: Cross multiply
    99,167,415x = 214,269,312 × 214,269,312
  4. Step 4: Simplify right side
    99,167,415x = 45,911,338,064,953,344
  5. Step 5: Solve for x
    x = 45,911,338,064,953,344/99,167,415
  6. Step 6: Final answer
    x = 462,967,982.63

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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.