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Finding the Third Proportional to 106,483,031.16 and 159,298,882.03

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Solution

The third proportional to 106,483,031.16 and 159,298,882.03 is: 238,311,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,483,031.16 : 159,298,882.03 = 159,298,882.03 : x
  2. Step 2: Convert to fraction form
    106,483,031.16/159,298,882.03 = 159,298,882.03/x
  3. Step 3: Cross multiply
    106,483,031.16x = 159,298,882.03 × 159,298,882.03
  4. Step 4: Simplify right side
    106,483,031.16x = 25,376,133,816,406,104
  5. Step 5: Solve for x
    x = 25,376,133,816,406,104/106,483,031.16
  6. Step 6: Final answer
    x = 238,311,527.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.