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Finding the Third Proportional to 140,817,772.50 and 285,615,115.50

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Solution

The third proportional to 140,817,772.50 and 285,615,115.50 is: 579,301,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,817,772.50 : 285,615,115.50 = 285,615,115.50 : x
  2. Step 2: Convert to fraction form
    140,817,772.50/285,615,115.50 = 285,615,115.50/x
  3. Step 3: Cross multiply
    140,817,772.50x = 285,615,115.50 × 285,615,115.50
  4. Step 4: Simplify right side
    140,817,772.50x = 81,575,994,202,078,336
  5. Step 5: Solve for x
    x = 81,575,994,202,078,336/140,817,772.50
  6. Step 6: Final answer
    x = 579,301,836.36

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.