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Finding the Third Proportional to 102,890,820,276 and 214,237,166,940

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Solution

The third proportional to 102,890,820,276 and 214,237,166,940 is: 446,080,258,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890,820,276 : 214,237,166,940 = 214,237,166,940 : x
  2. Step 2: Convert to fraction form
    102,890,820,276/214,237,166,940 = 214,237,166,940/x
  3. Step 3: Cross multiply
    102,890,820,276x = 214,237,166,940 × 214,237,166,940
  4. Step 4: Simplify right side
    102,890,820,276x = 45,897,563,698,477,427,326,976
  5. Step 5: Solve for x
    x = 45,897,563,698,477,427,326,976/102,890,820,276
  6. Step 6: Final answer
    x = 446,080,258,426.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.