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Finding the Third Proportional to 123,088,218,156 and 183,907,749,348

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Solution

The third proportional to 123,088,218,156 and 183,907,749,348 is: 274,779,022,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,088,218,156 : 183,907,749,348 = 183,907,749,348 : x
  2. Step 2: Convert to fraction form
    123,088,218,156/183,907,749,348 = 183,907,749,348/x
  3. Step 3: Cross multiply
    123,088,218,156x = 183,907,749,348 × 183,907,749,348
  4. Step 4: Simplify right side
    123,088,218,156x = 33,822,060,270,246,795,673,600
  5. Step 5: Solve for x
    x = 33,822,060,270,246,795,673,600/123,088,218,156
  6. Step 6: Final answer
    x = 274,779,022,533.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.