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Finding the Third Proportional to 230,461,997.55 and 506,892,344.14

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Solution

The third proportional to 230,461,997.55 and 506,892,344.14 is: 1,114,890,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,461,997.55 : 506,892,344.14 = 506,892,344.14 : x
  2. Step 2: Convert to fraction form
    230,461,997.55/506,892,344.14 = 506,892,344.14/x
  3. Step 3: Cross multiply
    230,461,997.55x = 506,892,344.14 × 506,892,344.14
  4. Step 4: Simplify right side
    230,461,997.55x = 256,939,848,547,186,624
  5. Step 5: Solve for x
    x = 256,939,848,547,186,624/230,461,997.55
  6. Step 6: Final answer
    x = 1,114,890,312.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.