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Finding the Third Proportional to 113,259,415.75 and 174,896,196.75

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Solution

The third proportional to 113,259,415.75 and 174,896,196.75 is: 270,076,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,259,415.75 : 174,896,196.75 = 174,896,196.75 : x
  2. Step 2: Convert to fraction form
    113,259,415.75/174,896,196.75 = 174,896,196.75/x
  3. Step 3: Cross multiply
    113,259,415.75x = 174,896,196.75 × 174,896,196.75
  4. Step 4: Simplify right side
    113,259,415.75x = 30,588,679,637,614,712
  5. Step 5: Solve for x
    x = 30,588,679,637,614,712/113,259,415.75
  6. Step 6: Final answer
    x = 270,076,261.96

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Why These Related Problems?

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