Home / 102,938,936.06-226,281,853.13

Finding the Third Proportional to 102,938,936.06 and 226,281,853.13

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Solution

The third proportional to 102,938,936.06 and 226,281,853.13 is: 497,416,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938,936.06 : 226,281,853.13 = 226,281,853.13 : x
  2. Step 2: Convert to fraction form
    102,938,936.06/226,281,853.13 = 226,281,853.13/x
  3. Step 3: Cross multiply
    102,938,936.06x = 226,281,853.13 × 226,281,853.13
  4. Step 4: Simplify right side
    102,938,936.06x = 51,203,477,053,684,072
  5. Step 5: Solve for x
    x = 51,203,477,053,684,072/102,938,936.06
  6. Step 6: Final answer
    x = 497,416,031.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.