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Finding the Third Proportional to 54,853,201 and 116,996,402

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Solution

The third proportional to 54,853,201 and 116,996,402 is: 249,541,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853,201 : 116,996,402 = 116,996,402 : x
  2. Step 2: Convert to fraction form
    54,853,201/116,996,402 = 116,996,402/x
  3. Step 3: Cross multiply
    54,853,201x = 116,996,402 × 116,996,402
  4. Step 4: Simplify right side
    54,853,201x = 13,688,158,080,945,604
  5. Step 5: Solve for x
    x = 13,688,158,080,945,604/54,853,201
  6. Step 6: Final answer
    x = 249,541,646.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.