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Finding the Third Proportional to 149,602,254,422 and 329,124,595,564

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Solution

The third proportional to 149,602,254,422 and 329,124,595,564 is: 724,073,309,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602,254,422 : 329,124,595,564 = 329,124,595,564 : x
  2. Step 2: Convert to fraction form
    149,602,254,422/329,124,595,564 = 329,124,595,564/x
  3. Step 3: Cross multiply
    149,602,254,422x = 329,124,595,564 × 329,124,595,564
  4. Step 4: Simplify right side
    149,602,254,422x = 108,322,999,405,166,563,688,448
  5. Step 5: Solve for x
    x = 108,322,999,405,166,563,688,448/149,602,254,422
  6. Step 6: Final answer
    x = 724,073,309,080.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.