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Finding the Third Proportional to 176,836,643 and 380,547,150

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Solution

The third proportional to 176,836,643 and 380,547,150 is: 818,926,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,836,643 : 380,547,150 = 380,547,150 : x
  2. Step 2: Convert to fraction form
    176,836,643/380,547,150 = 380,547,150/x
  3. Step 3: Cross multiply
    176,836,643x = 380,547,150 × 380,547,150
  4. Step 4: Simplify right side
    176,836,643x = 144,816,133,373,122,496
  5. Step 5: Solve for x
    x = 144,816,133,373,122,496/176,836,643
  6. Step 6: Final answer
    x = 818,926,049.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.