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Finding the Third Proportional to 357,305,181 and 546,468,819

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Solution

The third proportional to 357,305,181 and 546,468,819 is: 835,779,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,305,181 : 546,468,819 = 546,468,819 : x
  2. Step 2: Convert to fraction form
    357,305,181/546,468,819 = 546,468,819/x
  3. Step 3: Cross multiply
    357,305,181x = 546,468,819 × 546,468,819
  4. Step 4: Simplify right side
    357,305,181x = 298,628,170,139,254,784
  5. Step 5: Solve for x
    x = 298,628,170,139,254,784/357,305,181
  6. Step 6: Final answer
    x = 835,779,009.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.