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Finding the Third Proportional to 308,938,968 and 466,281,409.50

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Solution

The third proportional to 308,938,968 and 466,281,409.50 is: 703,758,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,938,968 : 466,281,409.50 = 466,281,409.50 : x
  2. Step 2: Convert to fraction form
    308,938,968/466,281,409.50 = 466,281,409.50/x
  3. Step 3: Cross multiply
    308,938,968x = 466,281,409.50 × 466,281,409.50
  4. Step 4: Simplify right side
    308,938,968x = 217,418,352,845,306,688
  5. Step 5: Solve for x
    x = 217,418,352,845,306,688/308,938,968
  6. Step 6: Final answer
    x = 703,758,267.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.