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Finding the Third Proportional to 96,946,248 and 212,134,992

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Solution

The third proportional to 96,946,248 and 212,134,992 is: 464,187,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946,248 : 212,134,992 = 212,134,992 : x
  2. Step 2: Convert to fraction form
    96,946,248/212,134,992 = 212,134,992/x
  3. Step 3: Cross multiply
    96,946,248x = 212,134,992 × 212,134,992
  4. Step 4: Simplify right side
    96,946,248x = 45,001,254,830,840,064
  5. Step 5: Solve for x
    x = 45,001,254,830,840,064/96,946,248
  6. Step 6: Final answer
    x = 464,187,689.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.