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Finding the Third Proportional to 202,765,906 and 416,281,034.50

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Solution

The third proportional to 202,765,906 and 416,281,034.50 is: 854,630,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,765,906 : 416,281,034.50 = 416,281,034.50 : x
  2. Step 2: Convert to fraction form
    202,765,906/416,281,034.50 = 416,281,034.50/x
  3. Step 3: Cross multiply
    202,765,906x = 416,281,034.50 × 416,281,034.50
  4. Step 4: Simplify right side
    202,765,906x = 173,289,899,684,390,176
  5. Step 5: Solve for x
    x = 173,289,899,684,390,176/202,765,906
  6. Step 6: Final answer
    x = 854,630,362.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.