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Finding the Third Proportional to 298,610,942.81 and 463,638,214.13

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Solution

The third proportional to 298,610,942.81 and 463,638,214.13 is: 719,867,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,610,942.81 : 463,638,214.13 = 463,638,214.13 : x
  2. Step 2: Convert to fraction form
    298,610,942.81/463,638,214.13 = 463,638,214.13/x
  3. Step 3: Cross multiply
    298,610,942.81x = 463,638,214.13 × 463,638,214.13
  4. Step 4: Simplify right side
    298,610,942.81x = 214,960,393,597,019,360
  5. Step 5: Solve for x
    x = 214,960,393,597,019,360/298,610,942.81
  6. Step 6: Final answer
    x = 719,867,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.