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Finding the Third Proportional to 162,466,906 and 257,467,952

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Solution

The third proportional to 162,466,906 and 257,467,952 is: 408,019,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,466,906 : 257,467,952 = 257,467,952 : x
  2. Step 2: Convert to fraction form
    162,466,906/257,467,952 = 257,467,952/x
  3. Step 3: Cross multiply
    162,466,906x = 257,467,952 × 257,467,952
  4. Step 4: Simplify right side
    162,466,906x = 66,289,746,307,074,304
  5. Step 5: Solve for x
    x = 66,289,746,307,074,304/162,466,906
  6. Step 6: Final answer
    x = 408,019,995.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.