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Finding the Third Proportional to 138,803,421 and 301,501,356

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Solution

The third proportional to 138,803,421 and 301,501,356 is: 654,905,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,803,421 : 301,501,356 = 301,501,356 : x
  2. Step 2: Convert to fraction form
    138,803,421/301,501,356 = 301,501,356/x
  3. Step 3: Cross multiply
    138,803,421x = 301,501,356 × 301,501,356
  4. Step 4: Simplify right side
    138,803,421x = 90,903,067,669,838,736
  5. Step 5: Solve for x
    x = 90,903,067,669,838,736/138,803,421
  6. Step 6: Final answer
    x = 654,905,095.39

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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.