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Finding the Third Proportional to 147,701,475 and 323,199,558

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Solution

The third proportional to 147,701,475 and 323,199,558 is: 707,223,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,701,475 : 323,199,558 = 323,199,558 : x
  2. Step 2: Convert to fraction form
    147,701,475/323,199,558 = 323,199,558/x
  3. Step 3: Cross multiply
    147,701,475x = 323,199,558 × 323,199,558
  4. Step 4: Simplify right side
    147,701,475x = 104,457,954,291,395,360
  5. Step 5: Solve for x
    x = 104,457,954,291,395,360/147,701,475
  6. Step 6: Final answer
    x = 707,223,501.26

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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.