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Finding the Third Proportional to 89,444,053 and 193,249,285

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Solution

The third proportional to 89,444,053 and 193,249,285 is: 417,526,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,444,053 : 193,249,285 = 193,249,285 : x
  2. Step 2: Convert to fraction form
    89,444,053/193,249,285 = 193,249,285/x
  3. Step 3: Cross multiply
    89,444,053x = 193,249,285 × 193,249,285
  4. Step 4: Simplify right side
    89,444,053x = 37,345,286,153,011,224
  5. Step 5: Solve for x
    x = 37,345,286,153,011,224/89,444,053
  6. Step 6: Final answer
    x = 417,526,765.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.