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Finding the Third Proportional to 46,369,686,253.50 and 100,439,112,584.25

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Solution

The third proportional to 46,369,686,253.50 and 100,439,112,584.25 is: 217,556,256,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,369,686,253.50 : 100,439,112,584.25 = 100,439,112,584.25 : x
  2. Step 2: Convert to fraction form
    46,369,686,253.50/100,439,112,584.25 = 100,439,112,584.25/x
  3. Step 3: Cross multiply
    46,369,686,253.50x = 100,439,112,584.25 × 100,439,112,584.25
  4. Step 4: Simplify right side
    46,369,686,253.50x = 10,088,015,336,711,647,133,696
  5. Step 5: Solve for x
    x = 10,088,015,336,711,647,133,696/46,369,686,253.50
  6. Step 6: Final answer
    x = 217,556,256,075.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.