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Finding the Third Proportional to 103,554,282 and 160,787,764.50

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Solution

The third proportional to 103,554,282 and 160,787,764.50 is: 249,653,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,554,282 : 160,787,764.50 = 160,787,764.50 : x
  2. Step 2: Convert to fraction form
    103,554,282/160,787,764.50 = 160,787,764.50/x
  3. Step 3: Cross multiply
    103,554,282x = 160,787,764.50 × 160,787,764.50
  4. Step 4: Simplify right side
    103,554,282x = 25,852,705,212,907,460
  5. Step 5: Solve for x
    x = 25,852,705,212,907,460/103,554,282
  6. Step 6: Final answer
    x = 249,653,657.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.