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Finding the Third Proportional to 105,964,357,816 and 162,874,815,224

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Solution

The third proportional to 105,964,357,816 and 162,874,815,224 is: 250,350,268,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964,357,816 : 162,874,815,224 = 162,874,815,224 : x
  2. Step 2: Convert to fraction form
    105,964,357,816/162,874,815,224 = 162,874,815,224/x
  3. Step 3: Cross multiply
    105,964,357,816x = 162,874,815,224 × 162,874,815,224
  4. Step 4: Simplify right side
    105,964,357,816x = 26,528,205,434,252,144,148,480
  5. Step 5: Solve for x
    x = 26,528,205,434,252,144,148,480/105,964,357,816
  6. Step 6: Final answer
    x = 250,350,268,533.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.