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Finding the Third Proportional to 242,570,749.50 and 527,642,388

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Solution

The third proportional to 242,570,749.50 and 527,642,388 is: 1,147,733,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570,749.50 : 527,642,388 = 527,642,388 : x
  2. Step 2: Convert to fraction form
    242,570,749.50/527,642,388 = 527,642,388/x
  3. Step 3: Cross multiply
    242,570,749.50x = 527,642,388 × 527,642,388
  4. Step 4: Simplify right side
    242,570,749.50x = 278,406,489,614,342,528
  5. Step 5: Solve for x
    x = 278,406,489,614,342,528/242,570,749.50
  6. Step 6: Final answer
    x = 1,147,733,146.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.