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Finding the Third Proportional to 144,141,084 and 310,956,948

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Solution

The third proportional to 144,141,084 and 310,956,948 is: 670,830,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141,084 : 310,956,948 = 310,956,948 : x
  2. Step 2: Convert to fraction form
    144,141,084/310,956,948 = 310,956,948/x
  3. Step 3: Cross multiply
    144,141,084x = 310,956,948 × 310,956,948
  4. Step 4: Simplify right side
    144,141,084x = 96,694,223,509,474,704
  5. Step 5: Solve for x
    x = 96,694,223,509,474,704/144,141,084
  6. Step 6: Final answer
    x = 670,830,417.16

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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.