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Finding the Third Proportional to 147,533,926.50 and 324,773,023.50

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Solution

The third proportional to 147,533,926.50 and 324,773,023.50 is: 714,937,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,533,926.50 : 324,773,023.50 = 324,773,023.50 : x
  2. Step 2: Convert to fraction form
    147,533,926.50/324,773,023.50 = 324,773,023.50/x
  3. Step 3: Cross multiply
    147,533,926.50x = 324,773,023.50 × 324,773,023.50
  4. Step 4: Simplify right side
    147,533,926.50x = 105,477,516,793,331,552
  5. Step 5: Solve for x
    x = 105,477,516,793,331,552/147,533,926.50
  6. Step 6: Final answer
    x = 714,937,365.90

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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.