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Finding the Third Proportional to 147,075,336 and 323,326,224

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Solution

The third proportional to 147,075,336 and 323,326,224 is: 710,791,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,075,336 : 323,326,224 = 323,326,224 : x
  2. Step 2: Convert to fraction form
    147,075,336/323,326,224 = 323,326,224/x
  3. Step 3: Cross multiply
    147,075,336x = 323,326,224 × 323,326,224
  4. Step 4: Simplify right side
    147,075,336x = 104,539,847,126,098,176
  5. Step 5: Solve for x
    x = 104,539,847,126,098,176/147,075,336
  6. Step 6: Final answer
    x = 710,791,149.42

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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.