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Finding the Third Proportional to 113,497,507 and 236,053,266.50

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Solution

The third proportional to 113,497,507 and 236,053,266.50 is: 490,945,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,497,507 : 236,053,266.50 = 236,053,266.50 : x
  2. Step 2: Convert to fraction form
    113,497,507/236,053,266.50 = 236,053,266.50/x
  3. Step 3: Cross multiply
    113,497,507x = 236,053,266.50 × 236,053,266.50
  4. Step 4: Simplify right side
    113,497,507x = 55,721,144,625,320,024
  5. Step 5: Solve for x
    x = 55,721,144,625,320,024/113,497,507
  6. Step 6: Final answer
    x = 490,945,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.