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Finding the Third Proportional to 154,974,708,088 and 240,621,446,154

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Solution

The third proportional to 154,974,708,088 and 240,621,446,154 is: 373,600,835,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,974,708,088 : 240,621,446,154 = 240,621,446,154 : x
  2. Step 2: Convert to fraction form
    154,974,708,088/240,621,446,154 = 240,621,446,154/x
  3. Step 3: Cross multiply
    154,974,708,088x = 240,621,446,154 × 240,621,446,154
  4. Step 4: Simplify right side
    154,974,708,088x = 57,898,680,349,242,318,389,248
  5. Step 5: Solve for x
    x = 57,898,680,349,242,318,389,248/154,974,708,088
  6. Step 6: Final answer
    x = 373,600,835,023.77

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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.