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Finding the Third Proportional to 181,950,085 and 429,522,428.50

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Solution

The third proportional to 181,950,085 and 429,522,428.50 is: 1,013,956,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950,085 : 429,522,428.50 = 429,522,428.50 : x
  2. Step 2: Convert to fraction form
    181,950,085/429,522,428.50 = 429,522,428.50/x
  3. Step 3: Cross multiply
    181,950,085x = 429,522,428.50 × 429,522,428.50
  4. Step 4: Simplify right side
    181,950,085x = 184,489,516,584,537,600
  5. Step 5: Solve for x
    x = 184,489,516,584,537,600/181,950,085
  6. Step 6: Final answer
    x = 1,013,956,748.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.