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Finding the Third Proportional to 67,909,598 and 147,303,292

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Solution

The third proportional to 67,909,598 and 147,303,292 is: 319,516,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,909,598 : 147,303,292 = 147,303,292 : x
  2. Step 2: Convert to fraction form
    67,909,598/147,303,292 = 147,303,292/x
  3. Step 3: Cross multiply
    67,909,598x = 147,303,292 × 147,303,292
  4. Step 4: Simplify right side
    67,909,598x = 21,698,259,834,037,264
  5. Step 5: Solve for x
    x = 21,698,259,834,037,264/67,909,598
  6. Step 6: Final answer
    x = 319,516,835.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.