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Finding the Third Proportional to 113,259,420.75 and 174,896,206.50

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Solution

The third proportional to 113,259,420.75 and 174,896,206.50 is: 270,076,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,259,420.75 : 174,896,206.50 = 174,896,206.50 : x
  2. Step 2: Convert to fraction form
    113,259,420.75/174,896,206.50 = 174,896,206.50/x
  3. Step 3: Cross multiply
    113,259,420.75x = 174,896,206.50 × 174,896,206.50
  4. Step 4: Simplify right side
    113,259,420.75x = 30,588,683,048,090,644
  5. Step 5: Solve for x
    x = 30,588,683,048,090,644/113,259,420.75
  6. Step 6: Final answer
    x = 270,076,280.15

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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.