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Finding the Third Proportional to 164,822,526 and 343,209,253.50

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Solution

The third proportional to 164,822,526 and 343,209,253.50 is: 714,663,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,822,526 : 343,209,253.50 = 343,209,253.50 : x
  2. Step 2: Convert to fraction form
    164,822,526/343,209,253.50 = 343,209,253.50/x
  3. Step 3: Cross multiply
    164,822,526x = 343,209,253.50 × 343,209,253.50
  4. Step 4: Simplify right side
    164,822,526x = 117,792,591,688,027,264
  5. Step 5: Solve for x
    x = 117,792,591,688,027,264/164,822,526
  6. Step 6: Final answer
    x = 714,663,186.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.