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Finding the Third Proportional to 124,791,710 and 194,742,223

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Solution

The third proportional to 124,791,710 and 194,742,223 is: 303,902,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,791,710 : 194,742,223 = 194,742,223 : x
  2. Step 2: Convert to fraction form
    124,791,710/194,742,223 = 194,742,223/x
  3. Step 3: Cross multiply
    124,791,710x = 194,742,223 × 194,742,223
  4. Step 4: Simplify right side
    124,791,710x = 37,924,533,418,981,728
  5. Step 5: Solve for x
    x = 37,924,533,418,981,728/124,791,710
  6. Step 6: Final answer
    x = 303,902,666.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.