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Finding the Third Proportional to 144,974,060,004 and 294,081,875,698.50

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Solution

The third proportional to 144,974,060,004 and 294,081,875,698.50 is: 596,549,131,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,974,060,004 : 294,081,875,698.50 = 294,081,875,698.50 : x
  2. Step 2: Convert to fraction form
    144,974,060,004/294,081,875,698.50 = 294,081,875,698.50/x
  3. Step 3: Cross multiply
    144,974,060,004x = 294,081,875,698.50 × 294,081,875,698.50
  4. Step 4: Simplify right side
    144,974,060,004x = 86,484,149,614,348,005,801,984
  5. Step 5: Solve for x
    x = 86,484,149,614,348,005,801,984/144,974,060,004
  6. Step 6: Final answer
    x = 596,549,131,699.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.