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Finding the Third Proportional to 229,863,968 and 510,746,240

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Solution

The third proportional to 229,863,968 and 510,746,240 is: 1,134,852,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,968 : 510,746,240 = 510,746,240 : x
  2. Step 2: Convert to fraction form
    229,863,968/510,746,240 = 510,746,240/x
  3. Step 3: Cross multiply
    229,863,968x = 510,746,240 × 510,746,240
  4. Step 4: Simplify right side
    229,863,968x = 260,861,721,674,137,600
  5. Step 5: Solve for x
    x = 260,861,721,674,137,600/229,863,968
  6. Step 6: Final answer
    x = 1,134,852,599.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.