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Finding the Third Proportional to 72,828,648 and 156,045,296.25

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Solution

The third proportional to 72,828,648 and 156,045,296.25 is: 334,348,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828,648 : 156,045,296.25 = 156,045,296.25 : x
  2. Step 2: Convert to fraction form
    72,828,648/156,045,296.25 = 156,045,296.25/x
  3. Step 3: Cross multiply
    72,828,648x = 156,045,296.25 × 156,045,296.25
  4. Step 4: Simplify right side
    72,828,648x = 24,350,134,481,750,264
  5. Step 5: Solve for x
    x = 24,350,134,481,750,264/72,828,648
  6. Step 6: Final answer
    x = 334,348,297.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.