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Finding the Third Proportional to 179,525,580 and 380,668,806

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Solution

The third proportional to 179,525,580 and 380,668,806 is: 807,176,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,525,580 : 380,668,806 = 380,668,806 : x
  2. Step 2: Convert to fraction form
    179,525,580/380,668,806 = 380,668,806/x
  3. Step 3: Cross multiply
    179,525,580x = 380,668,806 × 380,668,806
  4. Step 4: Simplify right side
    179,525,580x = 144,908,739,861,465,632
  5. Step 5: Solve for x
    x = 144,908,739,861,465,632/179,525,580
  6. Step 6: Final answer
    x = 807,176,001.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.