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Finding the Third Proportional to 113,259,406.50 and 174,896,184.75

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Solution

The third proportional to 113,259,406.50 and 174,896,184.75 is: 270,076,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,259,406.50 : 174,896,184.75 = 174,896,184.75 : x
  2. Step 2: Convert to fraction form
    113,259,406.50/174,896,184.75 = 174,896,184.75/x
  3. Step 3: Cross multiply
    113,259,406.50x = 174,896,184.75 × 174,896,184.75
  4. Step 4: Simplify right side
    113,259,406.50x = 30,588,675,440,106,132
  5. Step 5: Solve for x
    x = 30,588,675,440,106,132/113,259,406.50
  6. Step 6: Final answer
    x = 270,076,246.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.