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Finding the Third Proportional to 230,868,619 and 507,910,154

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Solution

The third proportional to 230,868,619 and 507,910,154 is: 1,117,400,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,868,619 : 507,910,154 = 507,910,154 : x
  2. Step 2: Convert to fraction form
    230,868,619/507,910,154 = 507,910,154/x
  3. Step 3: Cross multiply
    230,868,619x = 507,910,154 × 507,910,154
  4. Step 4: Simplify right side
    230,868,619x = 257,972,724,536,303,712
  5. Step 5: Solve for x
    x = 257,972,724,536,303,712/230,868,619
  6. Step 6: Final answer
    x = 1,117,400,561.64

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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.