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Finding the Third Proportional to 120,696,442.88 and 260,688,064.50

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Solution

The third proportional to 120,696,442.88 and 260,688,064.50 is: 563,051,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,696,442.88 : 260,688,064.50 = 260,688,064.50 : x
  2. Step 2: Convert to fraction form
    120,696,442.88/260,688,064.50 = 260,688,064.50/x
  3. Step 3: Cross multiply
    120,696,442.88x = 260,688,064.50 × 260,688,064.50
  4. Step 4: Simplify right side
    120,696,442.88x = 67,958,266,972,756,160
  5. Step 5: Solve for x
    x = 67,958,266,972,756,160/120,696,442.88
  6. Step 6: Final answer
    x = 563,051,116.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.