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Finding the Third Proportional to 144,141,085 and 310,956,950

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Solution

The third proportional to 144,141,085 and 310,956,950 is: 670,830,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141,085 : 310,956,950 = 310,956,950 : x
  2. Step 2: Convert to fraction form
    144,141,085/310,956,950 = 310,956,950/x
  3. Step 3: Cross multiply
    144,141,085x = 310,956,950 × 310,956,950
  4. Step 4: Simplify right side
    144,141,085x = 96,694,224,753,302,496
  5. Step 5: Solve for x
    x = 96,694,224,753,302,496/144,141,085
  6. Step 6: Final answer
    x = 670,830,421.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.