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Finding the Third Proportional to 201,130,531.50 and 307,543,840.50

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Solution

The third proportional to 201,130,531.50 and 307,543,840.50 is: 470,257,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130,531.50 : 307,543,840.50 = 307,543,840.50 : x
  2. Step 2: Convert to fraction form
    201,130,531.50/307,543,840.50 = 307,543,840.50/x
  3. Step 3: Cross multiply
    201,130,531.50x = 307,543,840.50 × 307,543,840.50
  4. Step 4: Simplify right side
    201,130,531.50x = 94,583,213,829,489,440
  5. Step 5: Solve for x
    x = 94,583,213,829,489,440/201,130,531.50
  6. Step 6: Final answer
    x = 470,257,862.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.