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Finding the Third Proportional to 195,523,146 and 407,118,312

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Solution

The third proportional to 195,523,146 and 407,118,312 is: 847,701,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523,146 : 407,118,312 = 407,118,312 : x
  2. Step 2: Convert to fraction form
    195,523,146/407,118,312 = 407,118,312/x
  3. Step 3: Cross multiply
    195,523,146x = 407,118,312 × 407,118,312
  4. Step 4: Simplify right side
    195,523,146x = 165,745,319,965,729,344
  5. Step 5: Solve for x
    x = 165,745,319,965,729,344/195,523,146
  6. Step 6: Final answer
    x = 847,701,785.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.