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Finding the Third Proportional to 202,052,802.38 and 295,520,929.88

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Solution

The third proportional to 202,052,802.38 and 295,520,929.88 is: 432,226,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,802.38 : 295,520,929.88 = 295,520,929.88 : x
  2. Step 2: Convert to fraction form
    202,052,802.38/295,520,929.88 = 295,520,929.88/x
  3. Step 3: Cross multiply
    202,052,802.38x = 295,520,929.88 × 295,520,929.88
  4. Step 4: Simplify right side
    202,052,802.38x = 87,332,619,994,184,672
  5. Step 5: Solve for x
    x = 87,332,619,994,184,672/202,052,802.38
  6. Step 6: Final answer
    x = 432,226,719.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.