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Finding the Third Proportional to 141,838,440 and 310,580,760

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Solution

The third proportional to 141,838,440 and 310,580,760 is: 680,072,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,838,440 : 310,580,760 = 310,580,760 : x
  2. Step 2: Convert to fraction form
    141,838,440/310,580,760 = 310,580,760/x
  3. Step 3: Cross multiply
    141,838,440x = 310,580,760 × 310,580,760
  4. Step 4: Simplify right side
    141,838,440x = 96,460,408,482,177,600
  5. Step 5: Solve for x
    x = 96,460,408,482,177,600/141,838,440
  6. Step 6: Final answer
    x = 680,072,401.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.