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Finding the Third Proportional to 248,482,941 and 540,598,711.50

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Solution

The third proportional to 248,482,941 and 540,598,711.50 is: 1,176,124,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,482,941 : 540,598,711.50 = 540,598,711.50 : x
  2. Step 2: Convert to fraction form
    248,482,941/540,598,711.50 = 540,598,711.50/x
  3. Step 3: Cross multiply
    248,482,941x = 540,598,711.50 × 540,598,711.50
  4. Step 4: Simplify right side
    248,482,941x = 292,246,966,875,460,224
  5. Step 5: Solve for x
    x = 292,246,966,875,460,224/248,482,941
  6. Step 6: Final answer
    x = 1,176,124,870.78

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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.