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Finding the Third Proportional to 51,952,196 and 112,946,943

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Solution

The third proportional to 51,952,196 and 112,946,943 is: 245,552,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952,196 : 112,946,943 = 112,946,943 : x
  2. Step 2: Convert to fraction form
    51,952,196/112,946,943 = 112,946,943/x
  3. Step 3: Cross multiply
    51,952,196x = 112,946,943 × 112,946,943
  4. Step 4: Simplify right side
    51,952,196x = 12,757,011,933,045,248
  5. Step 5: Solve for x
    x = 12,757,011,933,045,248/51,952,196
  6. Step 6: Final answer
    x = 245,552,891.22

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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.