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Finding the Third Proportional to 145,657,298 and 312,090,597

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Solution

The third proportional to 145,657,298 and 312,090,597 is: 668,696,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,298 : 312,090,597 = 312,090,597 : x
  2. Step 2: Convert to fraction form
    145,657,298/312,090,597 = 312,090,597/x
  3. Step 3: Cross multiply
    145,657,298x = 312,090,597 × 312,090,597
  4. Step 4: Simplify right side
    145,657,298x = 97,400,540,735,816,416
  5. Step 5: Solve for x
    x = 97,400,540,735,816,416/145,657,298
  6. Step 6: Final answer
    x = 668,696,605.48

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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.