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Finding the Third Proportional to 148,586,942 and 312,214,396

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Solution

The third proportional to 148,586,942 and 312,214,396 is: 656,032,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,586,942 : 312,214,396 = 312,214,396 : x
  2. Step 2: Convert to fraction form
    148,586,942/312,214,396 = 312,214,396/x
  3. Step 3: Cross multiply
    148,586,942x = 312,214,396 × 312,214,396
  4. Step 4: Simplify right side
    148,586,942x = 97,477,829,069,644,816
  5. Step 5: Solve for x
    x = 97,477,829,069,644,816/148,586,942
  6. Step 6: Final answer
    x = 656,032,271.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.