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Finding the Third Proportional to 113,497,506 and 236,053,264.50

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Solution

The third proportional to 113,497,506 and 236,053,264.50 is: 490,945,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,497,506 : 236,053,264.50 = 236,053,264.50 : x
  2. Step 2: Convert to fraction form
    113,497,506/236,053,264.50 = 236,053,264.50/x
  3. Step 3: Cross multiply
    113,497,506x = 236,053,264.50 × 236,053,264.50
  4. Step 4: Simplify right side
    113,497,506x = 55,721,143,681,106,960
  5. Step 5: Solve for x
    x = 55,721,143,681,106,960/113,497,506
  6. Step 6: Final answer
    x = 490,945,974.45

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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.