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Finding the Third Proportional to 145,657,164.94 and 312,090,321.94

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Solution

The third proportional to 145,657,164.94 and 312,090,321.94 is: 668,696,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,164.94 : 312,090,321.94 = 312,090,321.94 : x
  2. Step 2: Convert to fraction form
    145,657,164.94/312,090,321.94 = 312,090,321.94/x
  3. Step 3: Cross multiply
    145,657,164.94x = 312,090,321.94 × 312,090,321.94
  4. Step 4: Simplify right side
    145,657,164.94x = 97,400,369,047,052,400
  5. Step 5: Solve for x
    x = 97,400,369,047,052,400/145,657,164.94
  6. Step 6: Final answer
    x = 668,696,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.