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Finding the Third Proportional to 106,378,515 and 232,935,021

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Solution

The third proportional to 106,378,515 and 232,935,021 is: 510,053,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378,515 : 232,935,021 = 232,935,021 : x
  2. Step 2: Convert to fraction form
    106,378,515/232,935,021 = 232,935,021/x
  3. Step 3: Cross multiply
    106,378,515x = 232,935,021 × 232,935,021
  4. Step 4: Simplify right side
    106,378,515x = 54,258,724,008,270,440
  5. Step 5: Solve for x
    x = 54,258,724,008,270,440/106,378,515
  6. Step 6: Final answer
    x = 510,053,407.01

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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.