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Finding the Third Proportional to 248,920,106 and 537,723,234

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Solution

The third proportional to 248,920,106 and 537,723,234 is: 1,161,602,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,920,106 : 537,723,234 = 537,723,234 : x
  2. Step 2: Convert to fraction form
    248,920,106/537,723,234 = 537,723,234/x
  3. Step 3: Cross multiply
    248,920,106x = 537,723,234 × 537,723,234
  4. Step 4: Simplify right side
    248,920,106x = 289,146,276,383,418,752
  5. Step 5: Solve for x
    x = 289,146,276,383,418,752/248,920,106
  6. Step 6: Final answer
    x = 1,161,602,736.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.