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Finding the Third Proportional to 272,534,801.50 and 408,702,106.50

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Solution

The third proportional to 272,534,801.50 and 408,702,106.50 is: 612,903,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,534,801.50 : 408,702,106.50 = 408,702,106.50 : x
  2. Step 2: Convert to fraction form
    272,534,801.50/408,702,106.50 = 408,702,106.50/x
  3. Step 3: Cross multiply
    272,534,801.50x = 408,702,106.50 × 408,702,106.50
  4. Step 4: Simplify right side
    272,534,801.50x = 167,037,411,857,537,344
  5. Step 5: Solve for x
    x = 167,037,411,857,537,344/272,534,801.50
  6. Step 6: Final answer
    x = 612,903,052.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.