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Finding the Third Proportional to 214,652,580 and 463,294,152

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Solution

The third proportional to 214,652,580 and 463,294,152 is: 999,948,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,652,580 : 463,294,152 = 463,294,152 : x
  2. Step 2: Convert to fraction form
    214,652,580/463,294,152 = 463,294,152/x
  3. Step 3: Cross multiply
    214,652,580x = 463,294,152 × 463,294,152
  4. Step 4: Simplify right side
    214,652,580x = 214,641,471,277,399,104
  5. Step 5: Solve for x
    x = 214,641,471,277,399,104/214,652,580
  6. Step 6: Final answer
    x = 999,948,247.90

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