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Finding the Third Proportional to 228,047,271 and 497,895,699

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Solution

The third proportional to 228,047,271 and 497,895,699 is: 1,087,055,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047,271 : 497,895,699 = 497,895,699 : x
  2. Step 2: Convert to fraction form
    228,047,271/497,895,699 = 497,895,699/x
  3. Step 3: Cross multiply
    228,047,271x = 497,895,699 × 497,895,699
  4. Step 4: Simplify right side
    228,047,271x = 247,900,127,082,698,592
  5. Step 5: Solve for x
    x = 247,900,127,082,698,592/228,047,271
  6. Step 6: Final answer
    x = 1,087,055,880.98

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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.