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Finding the Third Proportional to 234,477,570 and 344,896,194

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Solution

The third proportional to 234,477,570 and 344,896,194 is: 507,312,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,477,570 : 344,896,194 = 344,896,194 : x
  2. Step 2: Convert to fraction form
    234,477,570/344,896,194 = 344,896,194/x
  3. Step 3: Cross multiply
    234,477,570x = 344,896,194 × 344,896,194
  4. Step 4: Simplify right side
    234,477,570x = 118,953,384,635,685,632
  5. Step 5: Solve for x
    x = 118,953,384,635,685,632/234,477,570
  6. Step 6: Final answer
    x = 507,312,424.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.