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Finding the Third Proportional to 140,153,598.84 and 306,685,280.53

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Solution

The third proportional to 140,153,598.84 and 306,685,280.53 is: 671,091,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,153,598.84 : 306,685,280.53 = 306,685,280.53 : x
  2. Step 2: Convert to fraction form
    140,153,598.84/306,685,280.53 = 306,685,280.53/x
  3. Step 3: Cross multiply
    140,153,598.84x = 306,685,280.53 × 306,685,280.53
  4. Step 4: Simplify right side
    140,153,598.84x = 94,055,861,294,531,504
  5. Step 5: Solve for x
    x = 94,055,861,294,531,504/140,153,598.84
  6. Step 6: Final answer
    x = 671,091,303.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.