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Finding the Third Proportional to 178,362,918 and 260,662,185

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Solution

The third proportional to 178,362,918 and 260,662,185 is: 380,935,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362,918 : 260,662,185 = 260,662,185 : x
  2. Step 2: Convert to fraction form
    178,362,918/260,662,185 = 260,662,185/x
  3. Step 3: Cross multiply
    178,362,918x = 260,662,185 × 260,662,185
  4. Step 4: Simplify right side
    178,362,918x = 67,944,774,688,974,224
  5. Step 5: Solve for x
    x = 67,944,774,688,974,224/178,362,918
  6. Step 6: Final answer
    x = 380,935,541.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.