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Finding the Third Proportional to 105,739,281.56 and 161,648,090.44

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Solution

The third proportional to 105,739,281.56 and 161,648,090.44 is: 247,118,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,739,281.56 : 161,648,090.44 = 161,648,090.44 : x
  2. Step 2: Convert to fraction form
    105,739,281.56/161,648,090.44 = 161,648,090.44/x
  3. Step 3: Cross multiply
    105,739,281.56x = 161,648,090.44 × 161,648,090.44
  4. Step 4: Simplify right side
    105,739,281.56x = 26,130,105,142,090,180
  5. Step 5: Solve for x
    x = 26,130,105,142,090,180/105,739,281.56
  6. Step 6: Final answer
    x = 247,118,239.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.