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Finding the Third Proportional to 102,890,820,278 and 214,237,166,944

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Solution

The third proportional to 102,890,820,278 and 214,237,166,944 is: 446,080,258,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890,820,278 : 214,237,166,944 = 214,237,166,944 : x
  2. Step 2: Convert to fraction form
    102,890,820,278/214,237,166,944 = 214,237,166,944/x
  3. Step 3: Cross multiply
    102,890,820,278x = 214,237,166,944 × 214,237,166,944
  4. Step 4: Simplify right side
    102,890,820,278x = 45,897,563,700,191,328,993,280
  5. Step 5: Solve for x
    x = 45,897,563,700,191,328,993,280/102,890,820,278
  6. Step 6: Final answer
    x = 446,080,258,434.92

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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.