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Finding the Third Proportional to 297,952,044 and 465,032,347.50

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Solution

The third proportional to 297,952,044 and 465,032,347.50 is: 725,805,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,952,044 : 465,032,347.50 = 465,032,347.50 : x
  2. Step 2: Convert to fraction form
    297,952,044/465,032,347.50 = 465,032,347.50/x
  3. Step 3: Cross multiply
    297,952,044x = 465,032,347.50 × 465,032,347.50
  4. Step 4: Simplify right side
    297,952,044x = 216,255,084,221,360,768
  5. Step 5: Solve for x
    x = 216,255,084,221,360,768/297,952,044
  6. Step 6: Final answer
    x = 725,805,003.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.