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Finding the Third Proportional to 138,803,425 and 301,501,364

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Solution

The third proportional to 138,803,425 and 301,501,364 is: 654,905,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,803,425 : 301,501,364 = 301,501,364 : x
  2. Step 2: Convert to fraction form
    138,803,425/301,501,364 = 301,501,364/x
  3. Step 3: Cross multiply
    138,803,425x = 301,501,364 × 301,501,364
  4. Step 4: Simplify right side
    138,803,425x = 90,903,072,493,860,496
  5. Step 5: Solve for x
    x = 90,903,072,493,860,496/138,803,425
  6. Step 6: Final answer
    x = 654,905,111.27

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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.