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Finding the Third Proportional to 91,346,881.25 and 215,562,293.25

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Solution

The third proportional to 91,346,881.25 and 215,562,293.25 is: 508,688,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,346,881.25 : 215,562,293.25 = 215,562,293.25 : x
  2. Step 2: Convert to fraction form
    91,346,881.25/215,562,293.25 = 215,562,293.25/x
  3. Step 3: Cross multiply
    91,346,881.25x = 215,562,293.25 × 215,562,293.25
  4. Step 4: Simplify right side
    91,346,881.25x = 46,467,102,271,198,992
  5. Step 5: Solve for x
    x = 46,467,102,271,198,992/91,346,881.25
  6. Step 6: Final answer
    x = 508,688,437.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.