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Finding the Third Proportional to 102,500,421 and 165,059,437.50

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Solution

The third proportional to 102,500,421 and 165,059,437.50 is: 265,800,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500,421 : 165,059,437.50 = 165,059,437.50 : x
  2. Step 2: Convert to fraction form
    102,500,421/165,059,437.50 = 165,059,437.50/x
  3. Step 3: Cross multiply
    102,500,421x = 165,059,437.50 × 165,059,437.50
  4. Step 4: Simplify right side
    102,500,421x = 27,244,617,907,816,408
  5. Step 5: Solve for x
    x = 27,244,617,907,816,408/102,500,421
  6. Step 6: Final answer
    x = 265,800,058.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.