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Finding the Third Proportional to 227,133,211.50 and 493,030,741.50

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Solution

The third proportional to 227,133,211.50 and 493,030,741.50 is: 1,070,205,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,133,211.50 : 493,030,741.50 = 493,030,741.50 : x
  2. Step 2: Convert to fraction form
    227,133,211.50/493,030,741.50 = 493,030,741.50/x
  3. Step 3: Cross multiply
    227,133,211.50x = 493,030,741.50 × 493,030,741.50
  4. Step 4: Simplify right side
    227,133,211.50x = 243,079,312,064,039,808
  5. Step 5: Solve for x
    x = 243,079,312,064,039,808/227,133,211.50
  6. Step 6: Final answer
    x = 1,070,205,939.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.