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Finding the Third Proportional to 290,101,340.53 and 626,144,200.31

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Solution

The third proportional to 290,101,340.53 and 626,144,200.31 is: 1,351,446,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,101,340.53 : 626,144,200.31 = 626,144,200.31 : x
  2. Step 2: Convert to fraction form
    290,101,340.53/626,144,200.31 = 626,144,200.31/x
  3. Step 3: Cross multiply
    290,101,340.53x = 626,144,200.31 × 626,144,200.31
  4. Step 4: Simplify right side
    290,101,340.53x = 392,056,559,584,980,096
  5. Step 5: Solve for x
    x = 392,056,559,584,980,096/290,101,340.53
  6. Step 6: Final answer
    x = 1,351,446,907.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.