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Finding the Third Proportional to 228,745,944 and 501,158,178

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Solution

The third proportional to 228,745,944 and 501,158,178 is: 1,097,984,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,745,944 : 501,158,178 = 501,158,178 : x
  2. Step 2: Convert to fraction form
    228,745,944/501,158,178 = 501,158,178/x
  3. Step 3: Cross multiply
    228,745,944x = 501,158,178 × 501,158,178
  4. Step 4: Simplify right side
    228,745,944x = 251,159,519,376,279,680
  5. Step 5: Solve for x
    x = 251,159,519,376,279,680/228,745,944
  6. Step 6: Final answer
    x = 1,097,984,580.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.