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Finding the Third Proportional to 119,524,410 and 175,868,746.50

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Solution

The third proportional to 119,524,410 and 175,868,746.50 is: 258,774,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,524,410 : 175,868,746.50 = 175,868,746.50 : x
  2. Step 2: Convert to fraction form
    119,524,410/175,868,746.50 = 175,868,746.50/x
  3. Step 3: Cross multiply
    119,524,410x = 175,868,746.50 × 175,868,746.50
  4. Step 4: Simplify right side
    119,524,410x = 30,929,815,995,481,264
  5. Step 5: Solve for x
    x = 30,929,815,995,481,264/119,524,410
  6. Step 6: Final answer
    x = 258,774,052.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.