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Finding the Third Proportional to 268,106,655 and 409,957,852.50

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Solution

The third proportional to 268,106,655 and 409,957,852.50 is: 626,860,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,106,655 : 409,957,852.50 = 409,957,852.50 : x
  2. Step 2: Convert to fraction form
    268,106,655/409,957,852.50 = 409,957,852.50/x
  3. Step 3: Cross multiply
    268,106,655x = 409,957,852.50 × 409,957,852.50
  4. Step 4: Simplify right side
    268,106,655x = 168,065,440,826,411,744
  5. Step 5: Solve for x
    x = 168,065,440,826,411,744/268,106,655
  6. Step 6: Final answer
    x = 626,860,384.45

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