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Finding the Third Proportional to 151,679,628 and 229,113,474.75

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Solution

The third proportional to 151,679,628 and 229,113,474.75 is: 346,078,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,679,628 : 229,113,474.75 = 229,113,474.75 : x
  2. Step 2: Convert to fraction form
    151,679,628/229,113,474.75 = 229,113,474.75/x
  3. Step 3: Cross multiply
    151,679,628x = 229,113,474.75 × 229,113,474.75
  4. Step 4: Simplify right side
    151,679,628x = 52,492,984,312,018,888
  5. Step 5: Solve for x
    x = 52,492,984,312,018,888/151,679,628
  6. Step 6: Final answer
    x = 346,078,013.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.