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Finding the Third Proportional to 105,964,357,703.62 and 162,874,815,035.62

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Solution

The third proportional to 105,964,357,703.62 and 162,874,815,035.62 is: 250,350,268,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964,357,703.62 : 162,874,815,035.62 = 162,874,815,035.62 : x
  2. Step 2: Convert to fraction form
    105,964,357,703.62/162,874,815,035.62 = 162,874,815,035.62/x
  3. Step 3: Cross multiply
    105,964,357,703.62x = 162,874,815,035.62 × 162,874,815,035.62
  4. Step 4: Simplify right side
    105,964,357,703.62x = 26,528,205,372,887,425,613,824
  5. Step 5: Solve for x
    x = 26,528,205,372,887,425,613,824/105,964,357,703.62
  6. Step 6: Final answer
    x = 250,350,268,220.25

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