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Finding the Third Proportional to 174,575,090 and 273,856,143

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Solution

The third proportional to 174,575,090 and 273,856,143 is: 429,598,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,575,090 : 273,856,143 = 273,856,143 : x
  2. Step 2: Convert to fraction form
    174,575,090/273,856,143 = 273,856,143/x
  3. Step 3: Cross multiply
    174,575,090x = 273,856,143 × 273,856,143
  4. Step 4: Simplify right side
    174,575,090x = 74,997,187,058,836,448
  5. Step 5: Solve for x
    x = 74,997,187,058,836,448/174,575,090
  6. Step 6: Final answer
    x = 429,598,444.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.