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Finding the Third Proportional to 161,039,680,882 and 240,163,004,208

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Solution

The third proportional to 161,039,680,882 and 240,163,004,208 is: 358,161,841,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,039,680,882 : 240,163,004,208 = 240,163,004,208 : x
  2. Step 2: Convert to fraction form
    161,039,680,882/240,163,004,208 = 240,163,004,208/x
  3. Step 3: Cross multiply
    161,039,680,882x = 240,163,004,208 × 240,163,004,208
  4. Step 4: Simplify right side
    161,039,680,882x = 57,678,268,590,211,825,926,144
  5. Step 5: Solve for x
    x = 57,678,268,590,211,825,926,144/161,039,680,882
  6. Step 6: Final answer
    x = 358,161,841,071.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.