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Finding the Third Proportional to 192,415,502 and 420,113,602

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Solution

The third proportional to 192,415,502 and 420,113,602 is: 917,262,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415,502 : 420,113,602 = 420,113,602 : x
  2. Step 2: Convert to fraction form
    192,415,502/420,113,602 = 420,113,602/x
  3. Step 3: Cross multiply
    192,415,502x = 420,113,602 × 420,113,602
  4. Step 4: Simplify right side
    192,415,502x = 176,495,438,585,414,400
  5. Step 5: Solve for x
    x = 176,495,438,585,414,400/192,415,502
  6. Step 6: Final answer
    x = 917,262,054.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.