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Finding the Third Proportional to 86,310,038.25 and 184,862,900.25

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Solution

The third proportional to 86,310,038.25 and 184,862,900.25 is: 395,948,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310,038.25 : 184,862,900.25 = 184,862,900.25 : x
  2. Step 2: Convert to fraction form
    86,310,038.25/184,862,900.25 = 184,862,900.25/x
  3. Step 3: Cross multiply
    86,310,038.25x = 184,862,900.25 × 184,862,900.25
  4. Step 4: Simplify right side
    86,310,038.25x = 34,174,291,888,841,452
  5. Step 5: Solve for x
    x = 34,174,291,888,841,452/86,310,038.25
  6. Step 6: Final answer
    x = 395,948,056.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.