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Finding the Third Proportional to 147,581,534 and 322,964,191

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Solution

The third proportional to 147,581,534 and 322,964,191 is: 706,767,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,581,534 : 322,964,191 = 322,964,191 : x
  2. Step 2: Convert to fraction form
    147,581,534/322,964,191 = 322,964,191/x
  3. Step 3: Cross multiply
    147,581,534x = 322,964,191 × 322,964,191
  4. Step 4: Simplify right side
    147,581,534x = 104,305,868,668,284,480
  5. Step 5: Solve for x
    x = 104,305,868,668,284,480/147,581,534
  6. Step 6: Final answer
    x = 706,767,749.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.