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Finding the Third Proportional to 234,477,564.75 and 344,896,187.63

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Solution

The third proportional to 234,477,564.75 and 344,896,187.63 is: 507,312,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,477,564.75 : 344,896,187.63 = 344,896,187.63 : x
  2. Step 2: Convert to fraction form
    234,477,564.75/344,896,187.63 = 344,896,187.63/x
  3. Step 3: Cross multiply
    234,477,564.75x = 344,896,187.63 × 344,896,187.63
  4. Step 4: Simplify right side
    234,477,564.75x = 118,953,380,238,259,200
  5. Step 5: Solve for x
    x = 118,953,380,238,259,200/234,477,564.75
  6. Step 6: Final answer
    x = 507,312,417.57

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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.