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Finding the Third Proportional to 135,819,196 and 294,606,583

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Solution

The third proportional to 135,819,196 and 294,606,583 is: 639,033,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,819,196 : 294,606,583 = 294,606,583 : x
  2. Step 2: Convert to fraction form
    135,819,196/294,606,583 = 294,606,583/x
  3. Step 3: Cross multiply
    135,819,196x = 294,606,583 × 294,606,583
  4. Step 4: Simplify right side
    135,819,196x = 86,793,038,746,935,888
  5. Step 5: Solve for x
    x = 86,793,038,746,935,888/135,819,196
  6. Step 6: Final answer
    x = 639,033,666.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.