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Finding the Third Proportional to 49,133,373,948 and 106,095,936,708

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Solution

The third proportional to 49,133,373,948 and 106,095,936,708 is: 229,097,798,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,133,373,948 : 106,095,936,708 = 106,095,936,708 : x
  2. Step 2: Convert to fraction form
    49,133,373,948/106,095,936,708 = 106,095,936,708/x
  3. Step 3: Cross multiply
    49,133,373,948x = 106,095,936,708 × 106,095,936,708
  4. Step 4: Simplify right side
    49,133,373,948x = 11,256,347,785,947,942,748,160
  5. Step 5: Solve for x
    x = 11,256,347,785,947,942,748,160/49,133,373,948
  6. Step 6: Final answer
    x = 229,097,798,125.18

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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.