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Finding the Third Proportional to 193,513,971 and 417,812,262

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Solution

The third proportional to 193,513,971 and 417,812,262 is: 902,090,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513,971 : 417,812,262 = 417,812,262 : x
  2. Step 2: Convert to fraction form
    193,513,971/417,812,262 = 417,812,262/x
  3. Step 3: Cross multiply
    193,513,971x = 417,812,262 × 417,812,262
  4. Step 4: Simplify right side
    193,513,971x = 174,567,086,277,556,640
  5. Step 5: Solve for x
    x = 174,567,086,277,556,640/193,513,971
  6. Step 6: Final answer
    x = 902,090,352.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.