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Finding the Third Proportional to 113,259,429.75 and 174,896,220.75

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Solution

The third proportional to 113,259,429.75 and 174,896,220.75 is: 270,076,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,259,429.75 : 174,896,220.75 = 174,896,220.75 : x
  2. Step 2: Convert to fraction form
    113,259,429.75/174,896,220.75 = 174,896,220.75/x
  3. Step 3: Cross multiply
    113,259,429.75x = 174,896,220.75 × 174,896,220.75
  4. Step 4: Simplify right side
    113,259,429.75x = 30,588,688,032,632,732
  5. Step 5: Solve for x
    x = 30,588,688,032,632,732/113,259,429.75
  6. Step 6: Final answer
    x = 270,076,302.70

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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.